#include using namespace std; template struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if ((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int)(1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while (b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt res(1), mul(x); while (n) { if (n & 1) res *= mul; mul *= mul; n >>= 1; } return res; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt(t); return (is); } static int get_mod() { return mod; } }; struct Combination { vector> _fact, _rfact, _inv; Combination(long long nsize = 5000000) : _fact(nsize + 1), _rfact(nsize + 1), _inv(nsize + 1) { _fact[0] = _rfact[nsize] = _inv[0] = 1; for (int i = 1; i <= nsize; i++) _fact[i] = _fact[i - 1] * i; _rfact[nsize] /= _fact[nsize]; for (int i = nsize - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1); for (int i = 1; i <= nsize; i++) _inv[i] = _rfact[i] * _fact[i - 1]; } inline ModInt<> fact(int k) const { return _fact[k]; } inline ModInt<> rfact(int k) const { return _rfact[k]; } inline ModInt<> inv(int k) const { return _inv[k]; } ModInt<> P(int n, int r) const { if (r < 0 || n < r) return 0; return fact(n) * rfact(n - r); } ModInt<> C(int p, int q) const { if (q < 0 || p < q) return 0; return fact(p) * rfact(q) * rfact(p - q); } ModInt<> largeC(long long p, long long q) const { if (q < 0 || p < q) return 0; if (q >= (long long)_fact.size()) q = p - q; // if (q >= (long long)5000) q = p - q; ModInt<> res = rfact(q); for (int i = 0; i < q; ++i) res *= p - i; return res; } // n types,choose r ModInt<> H(int n, int r) const { if (n < 0 || r < 0) return (0); return r == 0 ? 1 : C(n + r - 1, r); } ModInt<> largeH(long long n, long long r) const { if (n < 0 || r < 0) return (0); return r == 0 ? 1 : largeC(n + r - 1, r); } ModInt<> Catalan(int n) { // C(2n,n) / (n + 1) return fact(2 * n) * rfact(n + 1) * rfact(n); } }; using mint = ModInt<>; int n, x, y, l; vector s; vector>> dp, sum; mint solve(); int main() { cin >> n >> x >> y >> l; s.resize(n); for (auto &p : s) cin >> p; cout << solve() << endl; return 0; } mint solve() { dp.assign(n + 1, vector(n + 1, vector(y + 1, 0))); sum.assign(n + 1, vector(n + 1, vector(y + 1, 0))); dp[0][0][0] = 1; for (int i = 0; i <= y; ++i) sum[0][0][i] = 1; auto calc = [](int i, int j, int lef, int righ) { mint res = 0; lef = max(0, lef); righ = max(0, righ); if (righ >= 0) res = sum[i][j][righ]; if (lef > 0) res -= sum[i][j][lef - 1]; return res; }; for (int i = 0; i < n; ++i) { dp[i + 1] = dp[i]; for (int j = 1; j <= n; ++j) { for (int k = 1; k <= y; ++k) dp[i + 1][j][k] += calc(i, j - 1, k - s[i], k - 1); } for (int j = 0; j <= n; ++j) for (int k = 0; k <= y; ++k) { sum[i + 1][j][k] = dp[i + 1][j][k]; if (k) sum[i + 1][j][k] += sum[i + 1][j][k - 1]; } } mint res = 0; Combination com; for (int i = 0; i <= n; ++i) for (int j = 0; j <= y; ++j) if (0 <= i * l - j && i * l - j <= x) res += dp[n][i][j] * com.H(n, x - (i * l - j)); return res; }